ICTS:30487

Video URL

Representation Zeta functions à la Weil

Representation Zeta functions à la Weil

(2024). Representation Zeta functions à la Weil. SciVideos. https://youtube.com/live/ptl8_0LfAM8

Representation Zeta functions à la Weil. SciVideos, Dec. 13, 2024, https://youtube.com/live/ptl8_0LfAM8 

          @misc{ scivideos_ICTS:30487,
            doi = {},
            url = {https://youtube.com/live/ptl8_0LfAM8},
            author = {},
            keywords = {},
            language = {en},
            title = {Representation Zeta functions {\`a} la Weil},
            publisher = {},
            year = {2024},
            month = {dec},
            note = {ICTS:30487 see, \url{https://scivideos.org/index.php/icts-tifr/30487}}
          }
Steffen Kionke
Talk numberICTS:30487
Source RepositoryICTS-TIFR
Collection

Abstract

The Weil representation zeta function of a group G is a generating function counting the absolutely irreducible representations of G over all finite fields. It is reminiscent of the Hasse-Weil zeta function of algebraic varieties and converges for the large class of UBERG groups. We give a short introduction, discuss the abscissa of convergence and present some examples. Even for procyclic groups it can be difficult to determine the abscissa of convergence due to close relations to open problems in number theory. We will explain how to calculate the Weil abscissa for random procyclic groups. (based on joint work with Ged Corob Cook and Matteo Vannacci)